Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Bivariate odd-log-logistic-Weibull regression model for oral health-related quality of life

  • Cruz, Jose N. da (Department of Exact Sciences, ESALQ-USP) ;
  • Ortega, Edwin M.M. (Department of Exact Sciences, ESALQ-USP) ;
  • Cordeiro, Gauss M. (Department of Statistics, UFPE) ;
  • Suzuki, Adriano K. (Department of Applied Mathematics and Statistics, ICMC-USP) ;
  • Mialhe, Fabio L. (Department of Community Dentistry, Division of Health Education and Health Promotion, UNICAMP)
  • Received : 2017.02.11
  • Accepted : 2017.05.08
  • Published : 2017.05.31
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Abstract

We study a bivariate response regression model with arbitrary marginal distributions and joint distributions using Frank and Clayton's families of copulas. The proposed model is used for fitting dependent bivariate data with explanatory variables using the log-odd log-logistic Weibull distribution. We consider likelihood inferential procedures based on constrained parameters. For different parameter settings and sample sizes, various simulation studies are performed and compared to the performance of the bivariate odd-log-logistic-Weibull regression model. Sensitivity analysis methods (such as local and total influence) are investigated under three perturbation schemes. The methodology is illustrated in a study to assess changes on schoolchildren's oral health-related quality of life (OHRQoL) in a follow-up exam after three years and to evaluate the impact of caries incidence on the OHRQoL of adolescents.

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